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Finding the Fourth Proportional to 2,111.49, 3,166.41 and 724.56

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Solution

The fourth proportional to 2,111.49, 3,166.41 and 724.56 is: 1,086.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.49 : 3,166.41 = 724.56 : x
  2. Step 2: Convert to fraction form
    2,111.49/3,166.41 = 724.56/x
  3. Step 3: Cross multiply
    2,111.49x = 3,166.41 × 724.56
  4. Step 4: Simplify right side
    2,111.49x = 2,294,254.03
  5. Step 5: Solve for x
    x = 2,294,254.03/2,111.49
  6. Step 6: Final answer
    x = 1,086.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.